PI-type event-triggered H_∞ filter for networked T-S fuzzy systems using affine matched membership function approach

This paper handles a design of event-triggered H_∞ filter for T-S fuzzy systems in the connection of network communication. The sampled-data fuzzy filter, which take into account both the measurement output and the fuzzy consequent parameter as the sampled signal, is expressed as a fuzzy system with a time-varying delay including the event-triggering variable. Under these considerations, a novel proportional-plus-integral (PI) event triggering condition is proposed to alleviate network allocation. Based time-delay approach, the stability of the filtering error systems is guaranteed by a new Lyapunov Kravoskii functional and by employing generalized free-weighting matrix integral inequality. Furthermore, an affine matched membership based distributed-filter (AMDF) is designed to improve the H_∞ performance, utilizing affine transformed membership function as a membership function of fuzzy filter. The affine matched membership function relaxes the parameterized stability condition due to the deviation bounds of sampled fuzzy membership function between consecutive sampling times. To show the effectiveness of proposed method, the results are compared with the unused ones.